# Great icosihemidodecahedral prism

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Great icosihemidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Geihiddip |

Coxeter diagram | /2 ((x x5/3x3/2o3*b)/2) |

Elements | |

Cells | 20 triangular prisms, 6 decagrammic prisms, 2 great icosihemidodecahedra |

Faces | 40 triangles, 60 squares, 12 decagrams |

Edges | 30+120 |

Vertices | 60 |

Vertex figure | Bowtie pyramid, edge lengths 1, √(5–√5)/2 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Geihid–3–trip: 90° |

Geihid–10/3–stiddip: 90° | |

Trip–4–stiddip: | |

Height | 1 |

Number of external pieces | 182 |

Related polytopes | |

Army | Semi-uniform Iddip |

Regiment | Giddip |

Dual | Great icosihemidodecacronic tegum |

Conjugate | Small icosihemidodecahedral prism |

Abstract & topological properties | |

Euler characteristic | –2 |

Orientable | No |

Properties | |

Symmetry | H3×A1, order 240 |

Convex | No |

Nature | Tame |

The **great icosihemidodecahedral prism** or **geihiddip**, is a prismatic uniform polychoron that consists of 2 great icosihemidodecahedra, 20 triangular prisms, and 6 decagrammic prisms. Each vertex joins 1 great icosihemidodecahedron, 2 triangular prisms, and 2 decagrammic prisms. As the name suggests, it is a prism based on the great icosihemidodecahedron.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great icosidodecahedral prism.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#919).